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Finding the Fourth Proportional to 480.48, 662.79 and 369.60

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Solution

The fourth proportional to 480.48, 662.79 and 369.60 is: 509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.48 : 662.79 = 369.60 : x
  2. Step 2: Convert to fraction form
    480.48/662.79 = 369.60/x
  3. Step 3: Cross multiply
    480.48x = 662.79 × 369.60
  4. Step 4: Simplify right side
    480.48x = 244,967.18
  5. Step 5: Solve for x
    x = 244,967.18/480.48
  6. Step 6: Final answer
    x = 509.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.